If `cos A=(1)/(2)` and `tan B=(1)/(sqrt(3))` then find `sin(A+B)`

If sin (A+B)=1 and tan (A-B)= (1)/(sqrt(3)) then A-B=?

If sin (A+B)=1 and tan (A-B)= (1)/(sqrt(3)) then A-B=?

If sin A=(1)/(sqrt(5)) and sin B=(1)/(sqrt(10)) ,find the values of cos A and cos B .Hence using the formula cos(A+B)=cos A cos B-sin A sin B, show that (A+B)=45^(@).

if sin A=(1)/(2) and cos B=(sqrt(3))/(2) find the following

If tan(A-B)=1 and sinA(+B)=(sqrt(3))/(2) , then find B.

If sin A = (1)/(sqrt3) and sin B = (1)/(sqrt5) find the value of tan ""(1)/(2) (A + B) . Cot "" (1)/(2) (A-B).

If sin(A+B)=1 and cos(A-B)=(sqrt(3))/(2) then find A and B

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If tan A=1 and tan B=sqrt(3), evaluate cos A cos B-sin A sin B